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- Find the derivative
- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
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Simplify the fraction $\frac{\frac{x+2}{x-2}\left(x^2-4\right)}{\frac{x+2}{x}}$
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$\frac{d}{dx}\left(\frac{x}{x-2}\left(x^2-4\right)\right)$
Learn how to solve problems step by step online. Find the derivative of ((x+2)/(x-2)(x^2-4))/((x+2)/x). Simplify the fraction \frac{\frac{x+2}{x-2}\left(x^2-4\right)}{\frac{x+2}{x}}. Multiplying the fraction by x^2-4. Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}. Simplify the product -(x^2-4).